(Solved): Two candy bowls contain red and green candies. The first bowl contains an even mix of red and green ...

Two candy bowls contain red and green candies. The first bowl contains an even mix of red and green candies, while the second bowl contains \( 60 \% \) red and \( 40 \% \) green candies. A bowl is chosen, and a candy from that bowl is randomly selected. Suppose that whenever a red candy is chosen, it came from the first bowl \( 62.5 \% \) of the time. What is the probability that the first bowl is chosen? The probability is (Type an integer or decimal rounded to three decimal places as needed.)